Duality Between Tests & Confidence Intervals

Connect confidence intervals with hypothesis-test decisions through matched procedures, directional bounds and inversion. Work through numerical acceptance sets, rounded boundaries, overlapping group intervals and transformations of parameters. Prerequisites: confidence intervals, test levels and p-values. Discrete tests and practical equivalence are treated as interpretation challenges, with specialist methods reserved for later topics. Includes single-select and multiselect practice with worked solutions and explanations of distractors.

References: 7.1.5 Test and confidence interval correspondence, 1.3.5.2 Mean limits and hypothesis test, Parameters and alternative definitions.